The strikes reportedly destroyed two buildings.
The witnesses said the attack took please overnight and into the morning hours on Friday in the city's southern neighborhood of Fag Attan. The death toll was expected to rise further as rescuers pull more victims from under the rubble.
Mohammed Ahmad, who lived in one of the buildings in the southern neighborhood of Fag Attan, said he was among residents who had taken nine bodies to a hospital.
Earlier this week, coalition fighter jets struck a hotel in Arhab, north of Sanaa, killing at least 41 people.
The Saudi-led coalition is waging an air campaign against Yemen's Shiite rebels and forces loyal to a former president. The alliance controls much of northern Yemen, including Sanaa. The coalition is trying to restore the internationally recognized government of President Abed Rabbo Mansour Hadi to power.